Math Is Fun Forum

paulb203

Member

Registered: 2023-02-24

Posts: 321

Sharing Ratio

A shop sells small chocolate bars and large chocolate bars

The small bars are sold in packs of 4
The large bars are sold in packs of 9

On one day;

packs of small sold ; packs of large sold = 5:2

A total of 95 bars were sold

How many small bars were sold?

*

5(4) ; 2(9) = 20;18

20:18=10:9

10:9 = 19 parts

95/19 = 5

10x5=50  and 9x5=45

50 small bars and 45 large bars

But the small bars come in packs of 4

50/4=12.5

How can you buy 12.5 packs?

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Prioritise. Persevere. No pain, no gain.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Sharing Ratio

My working is a little different but comes to the same answer, 50 small bars leading to 12.5 packs.  you can get the answer even though the answer makes no sense.  I've re-checked this several ways and still get to the same conclusion.

Odd

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

paulb203

Member

Registered: 2023-02-24

Posts: 321

Re: Sharing Ratio

Thanks, Bob.

I was annoyed at this one. I got the answer and thought, 'That can't be right...' Then puzzled over it for ages. So when I saw that was the answer...

Doesn't seem like a sensible approach to to me; 'Here's the answer, but it doesn't make sense.'

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Prioritise. Persevere. No pain, no gain.

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 245

Re: Sharing Ratio

For instance, let us recall that the solution of a problem could be the null set, that is it doesn't have one.

When I was at school (then universities) and I couldn't find a solution of a problem, I went on proving that no one else can find it too by proving it cannot exist in the first place (as you did).

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Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Sharing Ratio

I think it's odd that the question refers to small bars and large bars. Does that mean there are two sizes of bar?  I think the question just means bars that are put in small packs and same size bars that are piut in large packs. Altogether a very badly worded and thought out question.  It would be easy to change the numbers a bit so that only whole packs are sold and still test the same skills.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

paulb203

Member

Registered: 2023-02-24

Posts: 321

Re: Sharing Ratio

Thanks, KerimF, thanks, Bob.

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Prioritise. Persevere. No pain, no gain.

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 245

Re: Sharing Ratio

I guess you both know now that, to let this exercise have a solution, the sum 95 could be multiplied by 10 for example (and the missing 0 was simply a mistyping).

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Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.